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Dense mixture of granules and liquid often shows a sever shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of…

Soft Condensed Matter · Physics 2015-06-03 Hiizu Nakanishi , Shin-ichiro Nagahiro , Namiko Mitarai

We develop a geometric formulation of fluid dynamics, valid on arbitrary Riemannian manifolds, that regards the momentum-flux and stress tensors as 1-form valued 2-forms, and their divergence as a covariant exterior derivative. We review…

Fluid Dynamics · Physics 2022-06-14 Andrew D. Gilbert , Jacques Vanneste

The micromechanics of a variety of systems experiencing a structural arrest due to their high density could be unified by a thermodynamic framework governing their approach to 'jammed' configurations. The mechanism of supporting an applied…

Soft Condensed Matter · Physics 2007-05-23 Jasna Brujic , Sam F. Edwards , Ian Hopkinson , Hernan A. Makse

We report on experimentally observed shear stress fluctuations in both granular solid and fluid states, showing that they are non-Gaussian at low shear rates, reflecting the predominance of correlated structures (force chains) in the…

Statistical Mechanics · Physics 2009-11-11 Fergal Dalton , Francis Farrelly , Alberto Petri , Luciano Pietronero , Luca Pitolli , Giorgio Pontuale

Molecular-motor generated active stresses drive the cytoskeleton away from equilibrium, endowing it with tunable mechanical properties that are essential for diverse functions such as cell division and motility[1-5]. Designing analogous…

The inclusion of kinetic effects into fluid models has been a long standing problem in magnetic reconnection and plasma physics. Generally the pressure tensor is reduced to a scalar which is an approximation used to aid in the modeling of…

Plasma Physics · Physics 2023-03-15 John Donaghy , Kai Germaschewski

The nonequilibrium dynamical behavior and structure formation of end-functionalized semiflexible polymer suspensions under flow are investigated by mesoscale hydrodynamic simulations. The hybrid simulation approach combines the…

Soft Condensed Matter · Physics 2015-11-04 Jin Suk Myung , Roland G. Winkler , Gerhard Gompper

We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of…

Numerical Analysis · Mathematics 2019-03-06 Wietse M. Boon , Jan M. Nordbotten

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

Considering the rheology of two-dimensional soft suspensions above the jamming density, we derive a tensorial constitutive model from the microscopic particle dynamics. Starting from the equation governing the $N$-particle distribution, we…

Soft Condensed Matter · Physics 2022-03-15 Nicolas Cuny , Romain Mari , Eric Bertin

The dynamics of two-dimensional viscous vesicles in shear flow, with different fluid viscosities $\eta_{\rm in}$ and $\eta_{\rm out}$ inside and outside, respectively, is studied using mesoscale simulation techniques. Besides the well-known…

Soft Condensed Matter · Physics 2016-08-17 Sebastian Meßlinger , Benjamin Schmidt , Hiroshi Noguchi , Gerhard Gompper

We study the particle-scale dynamics that give rise to bulk flow behaviours of highly concentrated particle-fluid mixtures using discrete element method (DEM) simulations. We utilize boundary conditions of a stress-controlled shear cell and…

Soft Condensed Matter · Physics 2025-09-26 Teng Man , Herbert Huppert , Qingfeng Feng , Kimberly Hill

We analyze fluctuations of particle displacements and stresses in a sheared athermal suspension of elastic capsules (red blood cells). Upon variation of the volume fraction from the dilute up to the highly concentrated regime, our numerical…

Soft Condensed Matter · Physics 2015-01-13 Markus Gross , Timm Krüger , Fathollah Varnik

Systems of particles interacting through a screened Coulomb potential of the Debye-Yukawa form are considered. The pressure is obtained from the stress tensor of the field corresponding to the Yukawa interaction, by a suitable statistical…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici

Flow behavior of a single-component yield stress fluid is addressed on the hydrodynamic level. A basic ingredient of the model is a coupling between fluctuations of density and velocity gradient via a Herschel-Bulkley-type constitutive…

Soft Condensed Matter · Physics 2018-06-07 Markus Gross , Fathollah Varnik

We present a generalization of dissipative particle dynamics that includes shear forces between particles. The new algorithm has the same structure as the (isothermal) smoothed particle dynamics algorithm, except that it conserves angular…

Statistical Mechanics · Physics 2009-10-30 Pep Español

We present a theoretical method for deriving the stress tensor and elastic response of ordered systems within a Ginzburg-Landau type density field theory in the linear regime. This is based on spatially coarse graining the microscopic…

Materials Science · Physics 2021-07-07 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta

We present a tensor constitutive model for predicting stress and flow-induced structure formation in dilute wormlike micellar solutions. The micellar solution is treated as a dilute suspension of rigid Brownian rods whose length varies…

Fluid Dynamics · Physics 2017-11-27 Sarit Dutta , Michael D. Graham

Hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls are studied under creeping-flow conditions. The many-particle friction matrix in this system is evaluated using our novel numerical…

Fluid Dynamics · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

The evolution of the internal granular structure in shear-arrested and shear-flowing states of granular materials is characterized using fabric tensors as descriptors of the internal contact and force networks. When a dilute system of…

Soft Condensed Matter · Physics 2020-05-20 Ishan Srivastava , Jeremy B. Lechman , Gary S. Grest , Leonardo E. Silbert